@Article{Abdolrazaghi2020, author = "Abdolrazaghi, Fatemeh and Razani, Abdolrahman", title = "A unique weak solution for a kind of coupled system of fractional Schrödinger equations", journal = "Opuscula Math.", year = "2020", volume = "40", number = "3", pages = "313--322", doi = "https://doi.org/10.7494/OpMath.2020.40.3.313", url = "https://doi.org/10.7494/OpMath.2020.40.3.313", abstract = "In this paper, we prove the existence of a unique weak solution for a class of fractional systems of Schrödinger equations by using the Minty-Browder theorem in the Cartesian space. To this aim, we need to impose some growth conditions to control the source functions with respect to dependent variables.", keywords = "fractional Laplacian, uniqueness, weak solution, nonlinear systems", issn = "1232-9274" }